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Finding the Fourth Proportional to 21,000.13, 31,402.95 and 16,266.49

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Solution

The fourth proportional to 21,000.13, 31,402.95 and 16,266.49 is: 24,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.13 : 31,402.95 = 16,266.49 : x
  2. Step 2: Convert to fraction form
    21,000.13/31,402.95 = 16,266.49/x
  3. Step 3: Cross multiply
    21,000.13x = 31,402.95 × 16,266.49
  4. Step 4: Simplify right side
    21,000.13x = 510,815,772.15
  5. Step 5: Solve for x
    x = 510,815,772.15/21,000.13
  6. Step 6: Final answer
    x = 24,324.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.